Alarge suburb currently uses square signs to notify drivers of nearby bike lanes. in order to increase the visibility of these signs, the mayor wants to increase their dimensions. the new signs will be 12 inches longer and 8 inches taller than the current signs.

suppose x represents the side measure of the current signs, in inches. determine the equation that represents the area, y, in square inches, of the new signs.

a.
y = x2 - 4x - 96
b.
y = x2 + 4x - 96
c.
y = x2 - 20x + 96
d.
y = x2 + 20x + 96

D: y = x² + 20x + 96

Step-by-step explanation:

y = (x+12) (x+8)

y = x² + 20x + 96

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743